Do they have snow out there yet? I read the stories of resorts opening summer activities over the holidays because they couldn't even make snow. Plenty of resorts out West with good snow, but probably a bit far for a single night, if I'm reading what you wrote correctly.
Somewhere like Camelback is fine for beginners to intermediates. Nice and close, nice off-slope activities for the family (I think there are some outlet shops right near there too).
If they're high intermediates or above, step up to the Catskills. I recall Windham being the best family resort; Hunter is like the Seaside of skiing. I always liked Belleayre, too, which was a cheaper state-run mountain with a nice split set-up for beginners and advanced skiers.
Higher level than that, or if you want more of a picturesque ski vacation, definitely Vermont or upstate NY. Killington is good, but it's rather large for a quick trip and a very popular (crowded) destination. To me it's the cut-off - Killington and south (Stratton, Mt. Snow, a few others) are crowded with NY/Boston folks, but north of there starts to be real Vermont. Stowe is the best all-around resort in VT, imo.
Heard good things about Whiteface (Lake Placid, NY) and Smuggler's Notch, VT for families, but never been so can't confirm.